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Finding the Fourth Proportional to 30,460, 42,040.56 and 17,212

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Solution

The fourth proportional to 30,460, 42,040.56 and 17,212 is: 23,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460 : 42,040.56 = 17,212 : x
  2. Step 2: Convert to fraction form
    30,460/42,040.56 = 17,212/x
  3. Step 3: Cross multiply
    30,460x = 42,040.56 × 17,212
  4. Step 4: Simplify right side
    30,460x = 723,602,118.72
  5. Step 5: Solve for x
    x = 723,602,118.72/30,460
  6. Step 6: Final answer
    x = 23,755.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.